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Description

Mathematical Modelling in Science and Technology: The Fourth International Conference covers the proceedings of the Fourth International Conference by the same title, held at the Swiss Federal Institute of Technology, Zurich, Switzerland on August 15-17, 1983. Mathematical modeling is a powerful tool to solve many complex problems presented by scientific and technological developments.

This book is organized into 20 parts encompassing 180 chapters. The first parts present the basic principles, methodology, systems theory, parameter estimation, system identification, and optimization of mathematical modeling. The succeeding parts discuss the features of stochastic and numerical modeling and simulation languages. Considerable parts deal with the application areas of mathematical modeling, such as in chemical engineering, solid and fluid mechanics, water resources, medicine, economics, transportation, and industry. The last parts tackle the application of mathematical modeling in student management and other academic cases.

This book will prove useful to researchers in various science and technology fields.

Table of Contents

﻿Objective, Conference Organization and Advisory Board
Foreword
Invited General Lectures
Deterministic Control of Uncertain Systems
The Use of Interative Graphics in the Analysis and Design of Complex Feedback Systems
General Software for Computer-Aided Synthesis of Control for Manipulation Robots
Multicriterion Decisions in Systems with Feedback
Mathematical Modeling and Long Range Planning
Modeling and Identification
Statistical Methods for Experimental Planning in Chemical Engineering
Methodology
Direct Computer Modeling
Interpolation Methods for Tensor Functions
An Autoregressive Model with Varying Coefficients with Application to Prediction
Innermathematical Vs. Extramathematical Obstructions to Model Credibility
Searching for Structure: The BMDH Algorithm
Systems Theory
Contributions to a State Space Theory for Linear Partial Differential Equation Models
Complex Dynamical Systems
On Equilibrium Programming
A Decomposition Algorithm for Solving Sparse Systems of Simultaneous Equations
The Structural Complexity of Continuously Functioning Multi-Goal Systems
Mathematical Modelling of Multidimensional Systems and Their Applications
Category of Spaces of Available States with Application to Modelling of Computer Languages
Modelling the Apple II Using Categories of Spaces of Available States
Application of Bifurcation Diagrams to the Modelling of Stability Problems
Qualitative Methods in Social Systems Modelling
An Evaluation Procedure for Electronics Equipment Life Cycle Costs
An Extension of the Concept of Structural Sensitivity in an Urban Model
Parameter Estimation and Systems Identification
On Measures of Nonlinearity for Dynamic Stochastic Systems
Parameter and State Identification in Nonlinearizable Dynamical Models
Singular Perturbation Approach to Stiff Estimation
System Identification of Ship Steering Dynamics without Yaw Measurement
Identification of Multivariable Model for Commercial Vehicles
Dynamic Models of Urban and Regional Systems: Some Conceptual and Methodological Issues
Biocybernetical Model of Some States of Consciousness in Humans
Using Contextual Postprocessing to Improve Recognition of The English Text
Kaiman Filtering and Parameter Estimation in the Elementary Gaussian Process Case
Optimization
On Some Issues Concerning Optimization and Decision Trees
Maximizations with Respect to Cones in Mathematical Modelling
Production-Inventory Systems with State Constraints - Control Policies and Objective Functions
The Design of Optimal Relational Data Model
A Markov Process Model for Cash Management
Modelling Manpower Allocation of Mixed Multiproduct Assembly Line
A Mathematical Technique to Optimize a Mechanical Design with Many Parameters
Multiple Objective Optimization Applied to Missile System Design
Reduction of the Number of Patterns in a Cutting Program
Optimal Design of Heat Conducting Structural Elements
Mathematical Models for Power Converter Design Optimization
Models for Electric Generating System Development - Acceleration of Technology Development and Interaction Analysis
A Comparison of the Algorithms for Automated Data Adjustment and Material Balance Around Mineral Processing Equipment
A Computer Model in Solid Waste Management
Application of Operations Research in Paper Procurement
Stochastic Modelling
Topological Invariance in Stochastic Analysis
Linear Systems Submitted to Nonlinear Transformations of Gaussian Processes a Ritz-Galerkin Approach
Reliability Assessment Based on Point Estimates of Probability Moments
Using Stochastic Optimal Control to Find Shortest Paths in Networks
Markov Process Models: A General Framework for Estimation and Inference in the Absence of State Transition Data
A Storage Process with Non-Constant Inflow and Outflow
A Stochastic Mathematical Model on the Kinetic Theory of Test Particles in the Flow Field of the Discrete Boltzmann Equation
Mathematical Modelling of Surface Temperatures
On the Dynamics of Dumbbell Satellites in Two Gravitational Fields
A Stochastic Treatment of a Dynamic Model for an Interacting Cities System
Cross Correlations in Decomposed Streams of Events with Applications To Queueing Networks
Simulation
Multidisciplinary Mathematical Modeling with Advanced Simulation Languages
MAPLIS - A Matrix Oriented Language for Modelling and Interactive Simulation
MWR - Based Modelling and Simulation of Multidimensional Distributed Parameter Systems with Curvilinear Boundary
Fuzzy Simulation Programming System--Confucius
Mission Planning for the Voyager 2 Encounter with Uranus-- Mathematical Modelling Applications
Graphics Based Simulation System (GBSS) for Microcomputers
Numerical Modelling
Finite Difference Methods for Modelling Elastically Dissimilar Strata
Numerical Implementation of Elasto-Plastic Model
Finite Element Modelling of Contaminant Transport in Saturated Aquifers
A Non-Iterative Performance Modelling Method for Supercharged Heater Cycle
Numerical Solution of Electrical Power Systems Using Diakopitcs
Finite Element Modelling of the Temperature Histories in Arc Welding
Mathematical Modeling of Unbounded Media Undergoing Wave Motion
Numerical Modeling of D-Mappings with Applications to Chemical Kinetics
Transport and Accumulation of Frazil Ice Suspensions in Rivers
A Three Dimensional Model of Estuarine Hydraulics
Some Useful Formulas for Multi-Variable Interpolation and Integration
Finite Element Analysis of Calendering
A Mathematical Model for Computing Run-Up of Breaking Waves
Mathematical Modelling of Spark Ignition Engine Combustion
A Boundary Element Method for Analyzing Mining Induced Stresses and Displacements
Chemical Engineering
Conversion Estimates for Gas-Solid Reactions
Mathematical Model of a Freely-Bubbling Fluidized Bed
Microstructural Models for Immiscible Mixtures: Mathematical Modeling Methods
Ignition of a Combustible Solid with Variable Activation Energy
Concentration Waves - Effects of an Electric Field
Mathematical Models of Heat and Mass Transfer in Capillary-Porous Bodies Drying Process
Reaction Kinetic Parameters Obtained from Differential Scanning Calorimetric Data
Modeling of Base-Catalyzed Phenolic Polymerization
Fuzzy Models in Capital Cost Estimation of Chemical Plants
Solid Mechanics
On Delamination in Plates: A Unilateral-Contact Approach
Application of Lagrange's Equation to Crack Propagation Problems
Modelling the Quasistatic Growth of Curved Interface Cracks in Thermal Stressed Fiber Reinforced Composites by a Modified Crack Closure Integral
Forced Transient Torsional Waves in a Flawed Elastic Composite
Computational Modeling of Cumulative Damage Formation in Polymeric Materials
Structural Damping of Stranded Cable
Energy Absorption in Large Panel Structural Joints
Partial Slip Damping in High Strength Friction Grip Bolted Joints
The Quasi-Elastic Method in Creep Stability Anslysis
On the Theoretical Modeling of Human Joints
Theoretical Analysis of Impact of a Fluid-Filled Spherical Shell with a Shallow Shell: A Model for Head Impact
Mathematical Model of Wrinkling Phenomenon in Structures
Plane Wave Propagation in Discrete Solids by the Monte Carlo Simulation
A Simplified Model for the Damaged Segment of a Longitudinally Vibrating Uniform Beam
A Model of a Fractured Canine Radius Based on the Structural Frequency Response Function
Modeling of Magnetic Field, Pool Profiles, Temperature Field in Cold Crucible Induction Melting
Mathematical Model and Parametric Studies of Foundations on Piles
Fluid Mechanics
Numerical Model of the Arrested Topographic Wave
The Oil-Wave Interaction
Comparison of a Distributed Parameter and a Boundary Integral Model of Long Period Ocean Waves
Far-Field Contaminant Dispersion in Environmental Flows
A Mathematical Model for the Drawing of a Solid Continuum Through Newtonian Fluid Filled Tubular Orifice
Geothermal Aquifer Modelling: A Low Temperature Production/Disposal System
The Numerical Solution of the Natural Convection Flow in a Square Cavity
Experimental and Theoretical Study of Non-Darcy Flow Through Porous Media
Stability of Flow in a Rotating Porous Medium in the Form of An Annulus: The Wide-Gap Problem
A Theoretical Analysis of Nonisothermal Flow of Two Superimposed Fluids in a Converging Geometry
Modelling and Optimization Problems for Stochastic Constrained Functionals in the Kinetic Theory of Aerodynamical Shapes
Water Resources
Numerical Solution of the Shallow Water Equations with a MacCormack Type Finite Difference Scheme
Development and Verification of the Eddy Diffusion Thermal Stratification Model, 'U.S.E.D.'
Mathematical Modelling and Simulation of the Passaic River Basin in New Jersey
Biomedical Models
Massively Parallel Computational Models of Biological Systems
Structural Minimality and Modelling of Systems
Reduced Models of the Pulmonary Arterial Tree: A Case Study in Modelling Methodology
Analysis of Flow Through Stenosed Blood Vessels
Mathematical Model of Aortic Valve Vibration
Variational Solution for Pulsatile Flow in Rigid Tubes
Threshold and Conduction Properties of a Diffusion Model of a Myelinated Axon
Computer Simulation of Arterial Branch Flow
Mathematical Models of Renal Function
The Intrinsic Geometry of Biological Surface Growth
Instabilities in Stem Cell Systems
Neighborhood Complexities and Symmetry of Chemical Graphs and Their Biological Applications
Model Formulation, Identification and Validation: An Integrated Approach for the Study of Physiological Systems
Finite Element Analysis of Enzymatic Removal of ADP from Blood Platelets During Flow
Mathematical Modeling in Enzyme Systems
Inverse Solutions for Auditory Evoked Potential Fields
A Fundamental Problem in Plant Morphogenesis From the Standpoint of Differential Growth
Modelling in Economics
A Generalized Test for Four Types of Regression Specification Error
Estimation and Prediction of Time-Varying Parameter Economic Models
A Dynamic Model of an Informationally Disaggregate Economy
Modelling Non-Price Competition and Market Share
Boom Towns: Queue Up or Bust A Welfare Economy Analysis
Modelling the Economic Development by Means of Impulsive Control Techniques
Final Demand Conversion Coefficients for the 1982 United States Input-Output Table and Their Use in Microeconomic Modelling
Impact of Subsidies and of Tax Deductions on Consumer's Energy Savings - The Belgian Case
System Identification and Analysis of Inflation in Brazil
A Method of Getting Approximate Input-Output Table for Less Developed Countries
Substitutions in the French Food Industry from a Translog Cost Function Model
Imperfect Price Adjustment, Controlled Price and Multimarket Rationing Models: Their Potential Application to the Modelling of Trade in King and Tanner Crab Products
Transportation
Risk Analysis of Railroad Freight Transportation Disasters
Modeling Community Reactions to Transportation Impacts
Integration of Choice Set Reduction in Behavioral Choice Travel Demand Models
A Tour Management System for the Industrial Carrier Problems
Modelling the Future Air Traffic Demands in Saudi Arabia
Routing in Strategic Airlift: A Study in Bottleneck Routing
A Branch and Bound Model for the Transportation Routing Problem
Industrial Applications
Modelling and Generalized Solution for the Kinematics of Multi-Axis Robot's Skeleton
Model Formulation of Flexible Manipulator Arms
Dynamic Formulation Techniques for Robot Manipulators
Stochastic Characterization and Modelling of the Roughness of Technological Surfaces
Computer Control System of Induction Heater
Integrating Human Factor Aspects in Cost Function Development: A Quality Inspection Case
Populations
Stability of Bifurcating Orbits in a Predator Prey Model
Primary Productivity and Ecology in Competitive Plant Communities
Balance of Growth: Cell-Population Approach to Immunity, Hemopoiesis and Cancer
Population Modelling by Second Order Differential Systems
Mathematical Modelling Education
New Approaches to Teaching Mathematical Modelling to Management Students
Curriculum Development in Mathematical Modelling
Issues Involved in the Design of a Mathematical Modelling Course
Mathematical Modelling in a Differential Equations Course
A Goal Programming Application Academic Planning in a Nigerian University
General Topics
Energy Conservation: A Policy Model for the United States
On the Determinants of Credible Analysis
Energy Conservation and Modeling of Indoor Pollution
Some Recent Applications of Mathematical Modelling to Chemistry and Biology
A Population Model Accounting for Household Dimensions
Vertical Motion with Air Resistance
Quantum Mechanics and the Phenomena of Life
Late Abstracts
On a New Iterative Method for Mathematical Modelling of Engineering and Biomedical Systems
Nonclassical Memory Paths in the Description of Material Response to External Excitations
Author Index

Xavier J.R. Avula

Rudolf E. Kalman

Anthanasios I. Liapis

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